奧 冠 教 育 中 心 OLYMPIAD CHAMPION EDUCATION CENTRE Room 309-310, 8 Jordan Road, Yau Ma Tei, Kowloon, Hong Kong SAR, CHINA Tel (852) 3153 2028 Website: www.olympiadchampion.com Fax (852) 3153 2074 Email: olympiadchampion@gmail.com 香港國際數學競賽總決賽 2023 HONG KONG INTERNATIONAL MATHEMATICAL OLYMPIAD FINAL ROUND 2023 答題紙 Answer Sheet 考生須知: Instructions to Contestants: 1. 本卷包括 試題 乙份,試題紙不可取走。 Each contestant should have ONE Question-Answer Book which CANNOT be taken away. 2. 本卷共 5 個範疇,每範疇有 6 題,共 30 題,每題 5 分,總分 150 分,答錯不扣分。 There are 5 exam areas and 6 questions in each exam area. There are a total of 30 questions in this Question-Answer Book. Each carries 5 marks. Total score is 150 marks. No points are deducted for incorrect answers. 3. 請將答案寫在 答題紙 上。 All answers should be written on ANSWER SHEET. 4. 比賽期間,不得使用計算工具。 NO calculators can be used during the contest. 5. 本卷中所有圖形不一定依比例繪成。 All figures in the paper are not necessarily drawn to scale. 6. 比賽完畢時,本試題會被收回。 This Question-Answer Book will be collected at the end of the contest. 本試題不可取走。 THIS Question-Answer Book CANNOT BE TAKEN AWAY. 未得監考官同意,切勿翻閱試題,否則參賽者將有可能被取消資格。 DO NOT turn over this Question-Answer Book without approval of the examiner. Otherwise, contestant may be DISQUALIFIED. 准考證編號: Admission ID#: | | | | | 參賽者姓名: Contestant Name: | 試場編號: Centre No.: | | 參賽者年級: Contestant Grade: 請用正楷清楚填寫以上資料。未能提供正確個人資料者,賽會將保留取消其參賽資格的權利。 Fill all the information above in BLOCK LETTER. For Contestants who cannot provide the correct personal information, the organizer will reserve the right in disqualification. Logical Thinking 邏輯思維 5 5 5 5 5 5 1) 2) 3) 4) 5) 6) Number Theory 數論 5 5 5 5 5 5 5 5 5 5 5 5 13) 14) 15) 16) 17) 18) Arithmetic / Algebra 算術 / 代數 5 5 5 5 5 5 7) 8) 9) 10) 11) 12) Combinatorics 組合數學 5 5 5 5 5 5 5 5 5 5 5 5 25) 5 26) 5 27) 5 28) 5 29) 5 30) 5 Geometry 幾何 5 5 5 5 5 5 5 5 5 5 5 5 19) 5 20) 5 21) 5 22) 5 23) 5 24) 5 評卷員專用 Marker Use Only 評卷員編號 Marker’s Code 評卷員編號 Marker’s Code 各部總分 Section Sub-total 各部總分 Section Sub-total A B C A B C # # 總分 Total Score 總分 Total Score